In a triangle, the second angle is twice the measure of the first, and the third angle is three times the measure of the second. Find the measure of the third angle.
Let us assume the measure of the first angle = x degrees Then Measure of the second angle = 2x Measure of the third angle = 3 * 2x = 6x Now x + 2x + 6x = 180 9x = 180 x = 180/9 = 20 degrees So Measure of the third angle = 6x = 6 * 20 = 120 degrees From the above deduction, it can be concluded that the correct option among all the options that are given in the question is option "C".
